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VCO Single Gain Factor Formula

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VCO Gain is tuning gain and noise present in the control signal affect the phase noise. Check FAQs

K vco = \frac{Δf}{V ctrl}

K_vco - VCO Gain?Δf - Change in Frequency of Clock?V_ctrl - VCO Control Voltage?

VCO Single Gain Factor Example

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Here is how the VCO Single Gain Factor equation looks like with Values.

Here is how the VCO Single Gain Factor equation looks like with Units.

Here is how the VCO Single Gain Factor equation looks like.

0.0114 = \frac{0.08}{7}

0.0114 = \frac{0.08Hz}{7V}

0.0114 = \frac{0.08}{7}

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VCO Single Gain Factor Solution

Follow our step by step solution on how to calculate VCO Single Gain Factor?

FIRST Step Consider the formula

K vco = \frac{Δf}{V ctrl}

Next Step Substitute values of Variables

∴

K vco = \frac{0.08Hz}{7V}

Next Step Prepare to Evaluate

∴

K vco = \frac{0.08}{7}

Next Step Evaluate

∴

K vco = 0.0114285714285714

LAST Step Rounding Answer

∴

K vco = 0.0114

VCO Single Gain Factor Formula Elements

Variables

VCO Gain

VCO Gain is tuning gain and noise present in the control signal affect the phase noise.

Symbol: K_vco

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find VCO Gain

Change in Frequency of Clock

Change in Frequency of Clock is defined as the change in the clock frequency of the internal circuit of PLL.

Symbol: Δf

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Change in Frequency of Clock

VCO Control Voltage

VCO Control Voltage is the allowable voltage in VCO.

Symbol: V_ctrl

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find VCO Control Voltage

Other formulas in CMOS Design Characteristics category

Go Static Current

i static = \frac{P static}{V bc}

Go Built-in Potential

ψ o = V t \cdot \ln (\frac{N a \cdot N d}{{n i}^{2}})

Go Change in Frequency Clock

Δf = K vco \cdot V ctrl

Go Capacitance Onpath

C onpath = C t - C offpath

How to Evaluate VCO Single Gain Factor?

VCO Single Gain Factor evaluator uses VCO Gain = Change in Frequency of Clock/VCO Control Voltage to evaluate the VCO Gain, The VCO Single Gain Factor formula is defined as the difference between the output signal voltage level in decibels and the input signal voltage level. VCO Gain is denoted by K_vco symbol.

How to evaluate VCO Single Gain Factor using this online evaluator? To use this online evaluator for VCO Single Gain Factor, enter Change in Frequency of Clock (Δf) & VCO Control Voltage (V_ctrl) and hit the calculate button.

FAQs on VCO Single Gain Factor

What is the formula to find VCO Single Gain Factor?

The formula of VCO Single Gain Factor is expressed as VCO Gain = Change in Frequency of Clock/VCO Control Voltage. Here is an example- 0.011429 = 0.08/7.

How to calculate VCO Single Gain Factor?

With Change in Frequency of Clock (Δf) & VCO Control Voltage (V_ctrl) we can find VCO Single Gain Factor using the formula - VCO Gain = Change in Frequency of Clock/VCO Control Voltage.

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